The values of two stocks evolve as independent Brownian motions X1 and X2 with drifts, where Xi(t) = x i + μ i t + σiBi(t), and x1 2 will stay above X 1 for at least s time units. Let τ denote the...

The values of two stocks evolve as independent Brownian motions X1 and X2 with drifts, where Xi(t) = xi
+ μit + σiBi(t), and x1 <>2
will stay above X1
for at least s time units. Let τ denote the first time that the two values are equal. Find E[τ] when μ1
2
and when μ1
> μ2.

May 07, 2022
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